1. Geometry October 17, 2016 2-6: Proving Angles Congruent

2. DO NOW 1.Solve for x. 2. Name the property illustrated in each case. a.b.

3. Agenda Announcements (2 nd hour only) Do Now Review from Friday

4. Objective/Big Question How do we use basic angle relationships to prove that two angles are congruent?

5. REVIEW: Properties REFLEXIVE PROPERTY: Everything is congruent to itself SYMMETRIC PROPERTY: You can “flip” equalities and congruencies TRANSITIVE PROPERTY: If two things are both congruent to a third thing, they’re congruent to each other SUBSTITUTION: If two values are equal, you can swap them out

6. REVIEW: Properties

7. Let’s look at angles!

8. NOTES: Vertical Angles Theorem How can we PROVE this?

9. NOTES: Vertical Angles Theorem

10. NOTES: Congruent Supplements

11. NOTES: Congruent Complements

12. Exercise: Proof

14. Practice time!